Question

Resolva a equação

$\frac{2}{5}^{3x} = \frac{25}{4}$

Answer 1

EAE,

podemos fazer..

$\left( \dfrac{2}{5}\right)^{3x}= \dfrac{25}{4}\\ \left( \dfrac{5}{2}\right)^{-3x}=\left( \dfrac{5}{2}\right)^2\\\\ elimina~as~bases~e~conserva~os~expoentes..\\\\ -3x=2\\\\ x=- \dfrac{2}{3}\\\\\\ \Large\boxed{\boxed{S=\left\{- \dfrac{2}{3}\right\}}}$

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